Atkin-Lehner |
2- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
72100c |
Isogeny class |
Conductor |
72100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
100224 |
Modular degree for the optimal curve |
Δ |
706580000000 = 28 · 57 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6200,-183500] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:7:1] |
Generators of the group modulo torsion |
j |
6589292544/176645 |
j-invariant |
L |
7.7451521164045 |
L(r)(E,1)/r! |
Ω |
0.53890516889112 |
Real period |
R |
2.3953355070173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14420b1 |
Quadratic twists by: 5 |